A261797 - OEIS

%I #7 Sep 01 2015 16:26:16

%S 1,1,2,2,4,4,6,7,11,12,16,19,25,29,37,43,55,63,78,90,110,127,153,176,

%T 211,242,286,328,386,441,515,586,682,775,895,1016,1169,1323,1514,1711,

%U 1953,2201,2502,2815,3191,3582,4048,4536,5113,5719,6429,7179,8052

%N Expansion of Product_{k>=1} (1-x^(3*k))*(1-x^(5*k))/(1-x^k).

%H Vaclav Kotesovec, <a href="/A261797/b261797.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) ~ exp(Pi*sqrt(14*n/5)/3) / sqrt(30*n).

%t nmax=80; CoefficientList[Series[Product[(1-x^(3*k))*(1-x^(5*k))/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A103257, A098151, A138526, A261796.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Sep 01 2015